You need to arrange seven of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes a difference to you?

Q: Suppose Ed is going to build a playlist that contains 11 songs. In how many ways can Ed arrange the…

A:

Q: A volleyball team will be dispatched from a school. If the current volleyball club has 10 members,…

A: A volleyball team has 6 members . Here, there are 10 members in club and we need only 6 of them.

Q: How many different 4 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A:

Q: Find the number of different ways that an instructor can choose 6 students from a class of 27…

A: Since he will choose a group of 6 students from a group of 27 students, so the arrangement does not…

Q: For the grooms men, we had outfits picked out. We had 3 different dress shirts, 3 different styles…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’…

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: Suppose Allan is going to build a playlist that contains 9 songs. In how many ways can Allan arrange…

A: We have to find number of ways to 9 songs...

Q: A pianist plans to play 9 pieces at a recital. In how many ways can she arrange these pieces in the…

A:

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: A young boy asked his mother to get 6 game cartridges from his selection of 11 arcade and 7 sport…

A: Given: Number of arcade =11 Number of sports game =7

Q: You need to arrange nine of your favorite books along a small shelf. How many different ways can you…

A: Given, Total number of books available to arrange = 9

Q: A fast food restaurant advertises that it offers any combination of 8 condiments on a hamburger,…

A: The number is obtained as follows: The number of choosing none of the condiments on a hamburger:…

Q: A ice cream store offers 7 ice cream flavors and 12 toppings. If you want to eat 3 different ice…

A:

Q: There are 4 purple plates and 4 blue plates? How many different ways can the plates be stacked? Two…

A: see the hand written solution:

Q: Suppose there are 5 questions in an exam paper, find the number of ways in which a student can…

A:

Q: Find the number of different ways that an instructor can choose 4 students from a class of 26…

A: In this case, n = 26 and r = 4.

Q: a shelf holds 2 english books, 3 history books and 4 math books. In how many ways can you arrange…

A: Given : Number of English books = 2 Number of history books = 3 Number of Maths books = 4

Q: Find the number of different ways that an instructor can choose 4 students from a class of 23…

A: Given: Number of students = 23 Number of students to be chosen = 4

Q: Of 20 possible​ books, you plan to take 3 with you on vacation. How many different collections of…

A:

Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

A:

Q: Find the number of different ways that an instructor can choose 6 students from a class of 26…

A: instructor can choose 6 students from a class of26 students.

Q: The Croods, Half Brothers, All My Life, The War with Grandpa, and Let Him Go are playing tonight at…

A: Suppose we have n different positions and n different object to place then we can numbered position…

Q: How many different 2 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A: GivenTotal no.of cards in a deck =52

Q: How many different ways are there for the 10 people to stand in line to buy movie tickets?

A: How many different ways are there for the 10 people to stand in line to buy movie tickets?

Q: the difference Between the number of arrangements using all the letters informed and the number of…

A: Given letter is SALADS.

Q: Ten diplomats, each from a different country, are lined up in two rows of five for a photo. How many…

A: Ten diplomats, each from a different country, are lined up in two rows of five for a photo.   If the…

Q: Find the number of different ways that an instructor can choose 6 students from a class of 29…

A:

Q: How many ways can you arrange the letter from the words PLEASE?

A: How many ways can you arrange the letter from the words PLEASE?

Q: The library is to be given 3 books as a gift. The books will be selected from a list of 17 titles.…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Agustina owns all five books in the Spiderwick Chronicles series. In how many different orders can…

A: Given: Number of books = 5

Q: A poker hand consists of five cards from a deck of 52.  Order does not matter.  In how many ways can…

A: A poker hand consists of five cards from a deck of 52.   Order does not matter i.e. combination is…

Q: There are 10 books in the box, 4 of them are art books. a) In how many ways can you select 5 books…

A: Concept:

Q: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: She has to select 6 workshops where atleast 5 must be about music. She can do it 2 way, i. she…

Q: How many ways are there in choosing 3 books from a shelf of ( 83 ) books ?

A: The number of way for choosing 3 books from a shelf of 83 books is C383 =83!3!×(83-3)!…

Q: A luxury liner has 20 rooms in the upper deck. In how many ways can three passengers be assigned to…

A: The number of room in the upper deck is 20. The number of passenger is 3.

Q: A recording engineer wants to make a CD with 6 songs.  In how many different ways can the CD be…

A:

Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

A:

Q: The number of different arrangement that can be made using all letters in CALGARY if the first must…

A: We have to find the number of different arrangement that can be made using all the letters in…

Q: Find the number of different ways that an instructor can choose 3 students from a class of 29…

A: Find the number of different ways that an instructor can choose 3 students from a class of 29…

Q: Suppose Jim is going to build a playlist that contains 9 songs. In how many ways can Jim arrange the…

A: Suppose Jim is going to build a playlist that contains 9 songs.In how many ways can Jim arrange the…

Q: A license plate used 2 digits followed by two letters. If the numbers 1 and 0 can not be used in the…

A: Consider the provided question, Since, the numbers 1 and 0 can not be used in the digits. So, the…

Q: How many license plates are possible consisting of 4 letters followed by 3 digits if the first…

A: The license plate consists of 4 letters followed by 3 digits. Thus, it has 7 places to fill up.…

Q: Suppose Aaron is going to build a playlist that contains 14 songs. In how many ways can Aaron…

A: Given,total no.of songs=14

Q: Find the number of different ways that an instructor can choose 3 students from a class of 22…

A: From the provided information, There are 22 students from which 3 students will be chosen for a…

Q: Luiza has 10 different keys. In how many ways can she arrange the keys in a key chain?

A: luiza has 10 different keys .in how many ways can she arrange the keys in a key chain?

Q: How many different 6 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A: There are total 52 cards, from these 6 cards to be dealt.

Q: As a television executive, you have been given 8 shows to choose from to run during your prime time…

A: Total number of shows available = 8 Available time slot = 6

Q: Stephanie bought 14 plants to arrange along the border of her garden. How many distinct arrangements…

A: There are 14 plants which is going to be arranged in the manner that plants are comprised of 6…

Q: During a summer camp, all the children have to be separated into 8 different groups. If there were…

A: During a summer camp, all the children have to be separated into 8 different groups. If there were…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.